A football player kicks a ball with a force of 30 N. Find the impulse on the ball if his foot is in contact with the ball for .02 s.

Respuesta :

Answer:

[tex]\Huge \boxed{\text{Impulse = 0.6 N s}}[/tex]

Explanation:

Let's start by defining impulse. By multiplying the force applied to the object by the time that the force was applied, the term "impulse" relates to a measure of the change in momentum of an object. Mathematically, this is written as:

[tex]\LARGE \boxed{\text{Impulse = Force $\times$ Time}}[/tex]

The football player kicks the ball in this case, with a force of 30 N, and his foot makes contact with it for 0.02 seconds. We can easily enter these values into the impulse formula to determine the impulse on the ball:

[tex]\LARGE \text{Impulse = Force $\times$ Time}\\\text{Impulse = 30 N $\times$ 0.02 s}\\\text{Impulse = 0.6 N s}[/tex]

So the impulse on the ball is 0.6 N s.

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Symbols

Newton = N

Newton-Second = N s / N · s

0.02 s = 0.02 seconds

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Further Clarification

To clarify further, we can use impulse as a measurement of how much the player's foot force changes the ball's momentum.

The ball's momentum is increased by the player by kicking it with a force of 30 N since momentum is calculated as the product of an object's mass and velocity. The impulse, which in this case is, 0.6 N s, determines how much momentum is added to the ball.